Question

Minimum number of unequal forces whose vector sum can
be equal to zero is

Answer 1

In two dimensional vector algebra the answer is three vectors. All three vectors will be in the same geometric plane.

This is because one force vector doesn't result in a sum of zero unless it's zero.

Two unequal force vectors don't result in zero sum. So a third force equal and opposite to sum of first two force vectors will result in zero net force.

In 3d vector algebra if three unequal vectors are non planar then their resultant vector will be non zero. So a fourth vector (in the opposite direction to that resultant of the first three vectors ) will be needed to make the net resultant zero.

The reason saying that three vectors form a triangle is not valid as the three force vectors can be unequal and in same or opposite directions to make the net sum of zero.

Answer 2

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$\mathcal{\green{\huge{Answer}}}$

The minimum number of the unequal forces whose vector sum can be zeros are Three""3"".

This is because as they are unequal and are also in the same plane so the sum of the two vector can't be zero.

Also, the three vector can make the vector sum as zero because the two vector resultant can be equal to the magnitude of the third vector(but in the opposite direction).

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